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A R.C.C beam 300mm x 450mm (effective) is subjected to an ultimate moment of resistance of 224kNm.

Find out the steel required. Assume Take σcu=20N/mm2 and σsy=425N/mm2. Use Ultimate Load Method(IS method).

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Given: b= 250mm

d = 450mm

Mu=224kNmσcu=fck=20N/mm2σsy=fy=425N/mm2

To find = Ast = ?

We Know

Mumax=0.25fckbd2=0.25×20×250×4502=253.12kNm

Mu<Mumax Singly reinforced section

Mu=Cu×la=23×fckb×a×(da2)224×106=23×20×250×a×(450a2)

a = 189.04mm

Mu=Tu×la=fy×Ast×(da2)224×106=425×Ast×(450189.042)Ast=1482.66mm2

$Provide 5-20 mm∅ …

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